1. Data Loading and Preprocessing

1.1 Edge Data

1.2 Surface Data

1.3 Calibration Wafer Data

1.4 Calibration Surface Data

2. Surface Area Distribution Analysis

3. Edge Area Distribution Analysis

4. Calibration Wafer Analysis - Edge

5. Calibration Surface Analysis

6. Edge Model Analysis

7. Straight Line Model (SLSM and SLCM)

8. Trial Anlysis

8.1 Trial 9

## Trial 9 Edge Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                                      comparison pearson_r       p_value
## cor  Starshade Observed vs Calibration Observed 0.7027197  3.674915e-16
## cor1                Starshade Observed vs Model 0.9941039  2.254190e-96
## cor2       Starshade Observed vs SLSM Starshade 0.9973604 1.924980e-113
## cor3              Calibration Observed vs Model 0.6331472  1.569586e-12
## cor4     Calibration Observed vs SLSM Starshade 0.6735214  1.616574e-14
## cor5                    Model vs SLSM Starshade 0.9972677 1.041258e-112
## 
## 2. Kolmogorov-Smirnov Test Results:
##                                    comparison ks_statistic      p_value
## D  Starshade Observed vs Calibration Observed         0.51 1.011651e-11
## D1                Starshade Observed vs Model         0.10 6.993742e-01
## D2       Starshade Observed vs SLSM Starshade         0.04 9.999982e-01
## D3              Calibration Observed vs Model         0.52 3.611663e-12
## D4     Calibration Observed vs SLSM Starshade         0.50 2.777589e-11
## D5                    Model vs SLSM Starshade         0.06 9.937649e-01
## 
## 3. Root Mean Square Error Between Distributions:
##                                   comparison       rmse
## 1 Starshade Observed vs Calibration Observed 1.07333580
## 2                Starshade Observed vs Model 0.16901537
## 3       Starshade Observed vs SLSM Starshade 0.06837033
## 4              Calibration Observed vs Model 1.21696978
## 5     Calibration Observed vs SLSM Starshade 1.10196579
## 6                    Model vs SLSM Starshade 0.13266971
## 
## 4. Regression Analysis for Each Distribution:
##                         source       slope intercept r_squared      p_value
## log_area    Starshade Observed -0.62147529 2.1990516 0.8991446 1.285514e-50
## log_area1 Calibration Observed -0.06477496 0.2019875 0.3950164 2.546405e-12
## log_area2                Model -0.68339436 2.4479841 0.9030513 1.851215e-51
## log_area3       SLSM Starshade -0.63532983 2.2429598 0.8907273 6.559785e-49
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source                 auc
##   <chr>                <dbl>
## 1 Calibration Observed 0.247
## 2 Model                4.10 
## 3 SLSM Starshade       3.66 
## 4 Starshade Observed   3.60
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source              mean_log_count median_log_count sd_log_count min_log_count
##   <chr>                        <dbl>            <dbl>        <dbl>         <dbl>
## 1 Calibration Observ…         0.0570            0            0.135             0
## 2 Model                       0.918             0.654        0.944             0
## 3 SLSM Starshade              0.821             0.482        0.883             0
## 4 Starshade Observed          0.808             0.602        0.860             0
## # ℹ 1 more variable: max_log_count <dbl>

8.2 Trial 10

## Trial 10 Edge Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                                      comparison pearson_r       p_value
## cor  Starshade Observed vs Calibration Observed 0.9923160  9.350211e-91
## cor1                Starshade Observed vs Model 0.9912269  6.030821e-88
## cor2       Starshade Observed vs SLSM Starshade 0.9970189 7.403561e-111
## cor3              Calibration Observed vs Model 0.9737756  7.992211e-65
## cor4     Calibration Observed vs SLSM Starshade 0.9938810  1.381802e-95
## cor5                    Model vs SLSM Starshade 0.9870822  9.365427e-80
## 
## 2. Kolmogorov-Smirnov Test Results:
##                                    comparison ks_statistic      p_value
## D  Starshade Observed vs Calibration Observed         0.34 1.908033e-05
## D1                Starshade Observed vs Model         0.09 8.127483e-01
## D2       Starshade Observed vs SLSM Starshade         0.05 9.996333e-01
## D3              Calibration Observed vs Model         0.41 1.001244e-07
## D4     Calibration Observed vs SLSM Starshade         0.35 9.570235e-06
## D5                    Model vs SLSM Starshade         0.07 9.670685e-01
## 
## 3. Root Mean Square Error Between Distributions:
##                                   comparison       rmse
## 1 Starshade Observed vs Calibration Observed 0.65600409
## 2                Starshade Observed vs Model 0.20110698
## 3       Starshade Observed vs SLSM Starshade 0.07462964
## 4              Calibration Observed vs Model 0.81652691
## 5     Calibration Observed vs SLSM Starshade 0.66037761
## 6                    Model vs SLSM Starshade 0.22236853
## 
## 4. Regression Analysis for Each Distribution:
##                         source      slope intercept r_squared      p_value
## log_area    Starshade Observed -0.6502636  2.260122 0.8648647 2.206654e-44
## log_area1 Calibration Observed -0.3047132  1.041860 0.8289008 2.367129e-39
## log_area2                Model -0.7143903  2.539565 0.8857097 5.935652e-48
## log_area3       SLSM Starshade -0.6547185  2.257508 0.8422867 4.337441e-41
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source                 auc
##   <chr>                <dbl>
## 1 Calibration Observed  1.60
## 2 Model                 4.20
## 3 SLSM Starshade        3.53
## 4 Starshade Observed    3.58
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source              mean_log_count median_log_count sd_log_count min_log_count
##   <chr>                        <dbl>            <dbl>        <dbl>         <dbl>
## 1 Calibration Observ…          0.360           0             0.439             0
## 2 Model                        0.940           0.533         0.996             0
## 3 SLSM Starshade               0.792           0.0750        0.936             0
## 4 Starshade Observed           0.804           0.301         0.917             0
## # ℹ 1 more variable: max_log_count <dbl>

8.3 Trial 11

## Trial 11 Edge Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                                      comparison pearson_r      p_value
## cor  Starshade Observed vs Calibration Observed 0.9630816 1.175188e-57
## cor1                Starshade Observed vs Model 0.9866425 4.779898e-79
## cor2       Starshade Observed vs SLSM Starshade 0.9895681 2.810222e-84
## cor3              Calibration Observed vs Model 0.9355902 4.226939e-46
## cor4     Calibration Observed vs SLSM Starshade 0.9671463 4.266290e-60
## cor5                    Model vs SLSM Starshade 0.9932099 2.229302e-93
## 
## 2. Kolmogorov-Smirnov Test Results:
##                                    comparison ks_statistic      p_value
## D  Starshade Observed vs Calibration Observed         0.48 1.971901e-10
## D1                Starshade Observed vs Model         0.17 1.111333e-01
## D2       Starshade Observed vs SLSM Starshade         0.17 1.111333e-01
## D3              Calibration Observed vs Model         0.50 2.777589e-11
## D4     Calibration Observed vs SLSM Starshade         0.46 1.292286e-09
## D5                    Model vs SLSM Starshade         0.06 9.937649e-01
## 
## 3. Root Mean Square Error Between Distributions:
##                                   comparison      rmse
## 1 Starshade Observed vs Calibration Observed 1.0134880
## 2                Starshade Observed vs Model 0.1791888
## 3       Starshade Observed vs SLSM Starshade 0.2057564
## 4              Calibration Observed vs Model 0.9687954
## 5     Calibration Observed vs SLSM Starshade 0.8702850
## 6                    Model vs SLSM Starshade 0.1507934
## 
## 4. Regression Analysis for Each Distribution:
##                         source      slope intercept r_squared      p_value
## log_area    Starshade Observed -0.7813268 2.8501815 0.9318638 5.698289e-59
## log_area1 Calibration Observed -0.2847471 0.9822747 0.8393564 1.070844e-40
## log_area2                Model -0.7282105 2.7050619 0.9033761 1.570240e-51
## log_area3       SLSM Starshade -0.7093808 2.5682215 0.8962912 5.052006e-50
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source                 auc
##   <chr>                <dbl>
## 1 Calibration Observed  1.53
## 2 Model                 4.81
## 3 SLSM Starshade        4.38
## 4 Starshade Observed    4.91
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source              mean_log_count median_log_count sd_log_count min_log_count
##   <chr>                        <dbl>            <dbl>        <dbl>         <dbl>
## 1 Calibration Observ…          0.345            0            0.408             0
## 2 Model                        1.07             1.07         1.01              0
## 3 SLSM Starshade               0.980            0.717        0.983             0
## 4 Starshade Observed           1.10             1.04         1.06              0
## # ℹ 1 more variable: max_log_count <dbl>

8.4 Trial 12

## Trial 12 Edge Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                                      comparison pearson_r      p_value
## cor  Starshade Observed vs Calibration Observed 0.8856474 2.034191e-34
## cor1                Starshade Observed vs Model 0.9808596 1.882959e-71
## cor2       Starshade Observed vs SLSM Starshade 0.9473323 2.927345e-50
## cor3              Calibration Observed vs Model 0.9496741 3.334913e-51
## cor4     Calibration Observed vs SLSM Starshade 0.9772260 8.636027e-68
## cor5                    Model vs SLSM Starshade 0.9905724 2.018030e-86
## 
## 2. Kolmogorov-Smirnov Test Results:
##                                    comparison ks_statistic      p_value
## D  Starshade Observed vs Calibration Observed         0.49 7.475143e-11
## D1                Starshade Observed vs Model         0.21 2.431031e-02
## D2       Starshade Observed vs SLSM Starshade         0.24 6.302223e-03
## D3              Calibration Observed vs Model         0.37 2.267454e-06
## D4     Calibration Observed vs SLSM Starshade         0.31 1.341096e-04
## D5                    Model vs SLSM Starshade         0.07 9.670685e-01
## 
## 3. Root Mean Square Error Between Distributions:
##                                   comparison      rmse
## 1 Starshade Observed vs Calibration Observed 1.1959266
## 2                Starshade Observed vs Model 0.4749725
## 3       Starshade Observed vs SLSM Starshade 0.6463391
## 4              Calibration Observed vs Model 0.7470201
## 5     Calibration Observed vs SLSM Starshade 0.6105653
## 6                    Model vs SLSM Starshade 0.1778119
## 
## 4. Regression Analysis for Each Distribution:
##                         source      slope intercept r_squared      p_value
## log_area    Starshade Observed -0.8194974 2.9920279 0.9171047 8.542547e-55
## log_area1 Calibration Observed -0.2493649 0.8291678 0.7464043 5.891392e-31
## log_area2                Model -0.6280351 2.2044739 0.8812621 3.863310e-47
## log_area3       SLSM Starshade -0.5716532 1.9552916 0.8314698 1.126230e-39
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source                 auc
##   <chr>                <dbl>
## 1 Calibration Observed  1.20
## 2 Model                 3.56
## 3 SLSM Starshade        3.00
## 4 Starshade Observed    5.17
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source              mean_log_count median_log_count sd_log_count min_log_count
##   <chr>                        <dbl>            <dbl>        <dbl>         <dbl>
## 1 Calibration Observ…          0.271           0             0.379             0
## 2 Model                        0.798           0.401         0.878             0
## 3 SLSM Starshade               0.675           0.0123        0.823             0
## 4 Starshade Observed           1.16            1.11          1.12              0
## # ℹ 1 more variable: max_log_count <dbl>
## Trial 12 Surface Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                                     comparison pearson_r      p_value
## cor Starshade Observed vs Calibration Observed 0.9859644 5.323202e-78
## 
## 2. Kolmogorov-Smirnov Test Results:
##                                   comparison ks_statistic   p_value
## D Starshade Observed vs Calibration Observed         0.12 0.4675586
## 
## 3. Root Mean Square Error Between Distributions:
##                                   comparison      rmse
## 1 Starshade Observed vs Calibration Observed 0.4265422
## 
## 4. Regression Analysis for Each Distribution:
##                         source     slope intercept r_squared      p_value
## log_area    Starshade Observed -1.815463  8.791456 0.9580624 2.641805e-69
## log_area1 Calibration Observed -1.681296  8.392893 0.9160102 1.625447e-54
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 2 × 2
##   source                 auc
##   <chr>                <dbl>
## 1 Calibration Observed  20.8
## 2 Starshade Observed    21.2
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 2 × 6
##   source              mean_log_count median_log_count sd_log_count min_log_count
##   <chr>                        <dbl>            <dbl>        <dbl>         <dbl>
## 1 Calibration Observ…           4.63             5.11         2.31             0
## 2 Starshade Observed            4.73             5.09         2.43             0
## # ℹ 1 more variable: max_log_count <dbl>

9. Combined Analysis and Comparison

9.1 Cumulative Comparison

## All Trials Surface Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                comparison pearson_r      p_value
## cor   Trial 9 vs Trial 10 0.9767104 2.554861e-67
## cor1  Trial 9 vs Trial 11 0.9605212 2.953926e-56
## cor2  Trial 9 vs Trial 12 0.9819394 1.122806e-72
## cor3 Trial 10 vs Trial 11 0.9817243 1.995089e-72
## cor4 Trial 10 vs Trial 12 0.9906245 1.539446e-86
## cor5 Trial 11 vs Trial 12 0.9710947 8.835377e-63
## 
## 2. Kolmogorov-Smirnov Test Results:
##              comparison ks_statistic   p_value
## D   Trial 9 vs Trial 10         0.07 0.9670685
## D1  Trial 9 vs Trial 11         0.13 0.3667264
## D2  Trial 9 vs Trial 12         0.05 0.9996333
## D3 Trial 10 vs Trial 11         0.13 0.3667264
## D4 Trial 10 vs Trial 12         0.07 0.9670685
## D5 Trial 11 vs Trial 12         0.16 0.1545381
## 
## 3. Root Mean Square Error Between Distributions:
##             comparison      rmse
## 1  Trial 9 vs Trial 10 0.5892228
## 2  Trial 9 vs Trial 11 0.9925532
## 3  Trial 9 vs Trial 12 0.5236460
## 4 Trial 10 vs Trial 11 0.6850030
## 5 Trial 10 vs Trial 12 0.3781914
## 6 Trial 11 vs Trial 12 0.8432413
## 
## 4. Regression Analysis for Each Distribution:
##             source     slope intercept r_squared      p_value
## log_area   Trial 9 -1.948892  9.125252 0.9367151 1.523466e-60
## log_area1 Trial 10 -1.850231  9.040215 0.9603213 1.750396e-70
## log_area2 Trial 11 -1.565777  8.799607 0.9329998 2.498670e-59
## log_area3 Trial 12 -1.815463  8.791456 0.9580624 2.641805e-69
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source     auc
##   <chr>    <dbl>
## 1 Trial 10  22.0
## 2 Trial 11  23.8
## 3 Trial 12  21.2
## 4 Trial 9   21.4
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source   mean_log_count median_log_count sd_log_count min_log_count
##   <chr>             <dbl>            <dbl>        <dbl>         <dbl>
## 1 Trial 10           4.90             5.24         2.48             0
## 2 Trial 11           5.29             5.79         2.13             0
## 3 Trial 12           4.73             5.09         2.43             0
## 4 Trial 9            4.76             5.35         2.64             0
## # ℹ 1 more variable: max_log_count <dbl>
## All Trials Edge Distribution Analysis Results
## 
## 1. Correlation Analysis:
##                comparison pearson_r       p_value
## cor   Trial 9 vs Trial 10 0.9929732  1.188271e-92
## cor1  Trial 9 vs Trial 11 0.9907104  9.827838e-87
## cor2  Trial 9 vs Trial 12 0.9866390  4.839999e-79
## cor3 Trial 10 vs Trial 11 0.9757956  1.651127e-66
## cor4 Trial 10 vs Trial 12 0.9704842  2.425167e-62
## cor5 Trial 11 vs Trial 12 0.9957379 2.909056e-103
## 
## 2. Kolmogorov-Smirnov Test Results:
##              comparison ks_statistic    p_value
## D   Trial 9 vs Trial 10         0.05 0.99963329
## D1  Trial 9 vs Trial 11         0.17 0.11113334
## D2  Trial 9 vs Trial 12         0.21 0.02431031
## D3 Trial 10 vs Trial 11         0.15 0.21055163
## D4 Trial 10 vs Trial 12         0.17 0.11113334
## D5 Trial 11 vs Trial 12         0.07 0.96706849
## 
## 3. Root Mean Square Error Between Distributions:
##             comparison      rmse
## 1  Trial 9 vs Trial 10 0.1194225
## 2  Trial 9 vs Trial 11 0.3784343
## 3  Trial 9 vs Trial 12 0.4649738
## 4 Trial 10 vs Trial 11 0.3941772
## 5 Trial 10 vs Trial 12 0.4760085
## 6 Trial 11 vs Trial 12 0.1300165
## 
## 4. Regression Analysis for Each Distribution:
##             source      slope intercept r_squared      p_value
## log_area   Trial 9 -0.6214753  2.199052 0.8991446 1.285514e-50
## log_area1 Trial 10 -0.6502636  2.260122 0.8648647 2.206654e-44
## log_area2 Trial 11 -0.7813268  2.850182 0.9318638 5.698289e-59
## log_area3 Trial 12 -0.8194974  2.992028 0.9171047 8.542547e-55
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
##   source     auc
##   <chr>    <dbl>
## 1 Trial 10  3.58
## 2 Trial 11  4.91
## 3 Trial 12  5.17
## 4 Trial 9   3.60
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
##   source   mean_log_count median_log_count sd_log_count min_log_count
##   <chr>             <dbl>            <dbl>        <dbl>         <dbl>
## 1 Trial 10          0.804            0.301        0.917             0
## 2 Trial 11          1.10             1.04         1.06              0
## 3 Trial 12          1.16             1.11         1.12              0
## 4 Trial 9           0.808            0.602        0.860             0
## # ℹ 1 more variable: max_log_count <dbl>

9.2 Binned Comparison

10. Multiple Line analysis

## All Lines Starshade Surface Model Distribution Analysis Results
## 
## 1. Correlation Analysis:
##       comparison pearson_r       p_value
## cor       1 vs 2 0.9988358 7.564024e-131
## cor1      1 vs 3 0.9989636 2.552176e-133
## cor2      1 vs 4 0.9991493 1.607047e-137
## cor3      1 vs 5 0.9981329 8.397415e-121
## cor4      1 vs 6 0.9968097 2.044465e-109
## cor5      1 vs 7 0.9992770 5.555589e-141
## cor6      1 vs 8 0.9988692 1.823520e-131
## cor7      1 vs 9 0.9990585 2.302382e-135
## cor8     1 vs 10 0.9968905 5.832676e-110
## cor9      2 vs 3 0.9971344 1.071306e-111
## cor10     2 vs 4 0.9976550 5.872171e-116
## cor11     2 vs 5 0.9965330 1.196001e-107
## cor12     2 vs 6 0.9946640  1.717183e-98
## cor13     2 vs 7 0.9983562 1.644275e-123
## cor14     2 vs 8 0.9970609 3.700220e-111
## cor15     2 vs 9 0.9978239 1.511973e-117
## cor16    2 vs 10 0.9938425  1.876590e-95
## cor17     3 vs 4 0.9985084 1.412129e-125
## cor18     3 vs 5 0.9977402 9.603163e-117
## cor19     3 vs 6 0.9967342 6.428044e-109
## cor20     3 vs 7 0.9985922 8.307438e-127
## cor21     3 vs 8 0.9989090 3.146807e-132
## cor22     3 vs 9 0.9980707 4.178564e-120
## cor23    3 vs 10 0.9967482 5.206339e-109
## cor24     4 vs 5 0.9995119 2.453363e-149
## cor25     4 vs 6 0.9988176 1.618303e-130
## cor26     4 vs 7 0.9997190 4.352269e-161
## cor27     4 vs 8 0.9996894 5.934717e-159
## cor28     4 vs 9 0.9998563 2.327759e-175
## cor29    4 vs 10 0.9985817 1.195578e-126
## cor30     5 vs 6 0.9994688 1.546511e-147
## cor31     5 vs 7 0.9994843 3.603954e-148
## cor32     5 vs 8 0.9995238 7.277024e-150
## cor33     5 vs 9 0.9996181 1.473628e-154
## cor34    5 vs 10 0.9990339 8.161006e-135
## cor35     6 vs 7 0.9986209 3.027076e-127
## cor36     6 vs 8 0.9990423 5.309737e-135
## cor37     6 vs 9 0.9988178 1.604735e-130
## cor38    6 vs 10 0.9991555 1.122184e-137
## cor39     7 vs 8 0.9995994 1.528436e-153
## cor40     7 vs 9 0.9997220 2.560420e-161
## cor41    7 vs 10 0.9981863 2.027753e-121
## cor42     8 vs 9 0.9995264 5.556977e-150
## cor43    8 vs 10 0.9988575 3.009166e-131
## cor44    9 vs 10 0.9986334 1.940138e-127
## 
## 2. Kolmogorov-Smirnov Test Results:
##     comparison ks_statistic   p_value
## D       1 vs 2         0.03 1.0000000
## D1      1 vs 3         0.03 1.0000000
## D2      1 vs 4         0.03 1.0000000
## D3      1 vs 5         0.04 0.9999982
## D4      1 vs 6         0.06 0.9937649
## D5      1 vs 7         0.03 1.0000000
## D6      1 vs 8         0.04 0.9999982
## D7      1 vs 9         0.03 1.0000000
## D8     1 vs 10         0.06 0.9937649
## D9      2 vs 3         0.04 0.9999982
## D10     2 vs 4         0.04 0.9999982
## D11     2 vs 5         0.05 0.9996333
## D12     2 vs 6         0.07 0.9670685
## D13     2 vs 7         0.04 0.9999982
## D14     2 vs 8         0.06 0.9937649
## D15     2 vs 9         0.05 0.9996333
## D16    2 vs 10         0.08 0.9062064
## D17     3 vs 4         0.03 1.0000000
## D18     3 vs 5         0.04 0.9999982
## D19     3 vs 6         0.04 0.9999982
## D20     3 vs 7         0.04 0.9999982
## D21     3 vs 8         0.03 1.0000000
## D22     3 vs 9         0.03 1.0000000
## D23    3 vs 10         0.05 0.9996333
## D24     4 vs 5         0.03 1.0000000
## D25     4 vs 6         0.04 0.9999982
## D26     4 vs 7         0.02 1.0000000
## D27     4 vs 8         0.02 1.0000000
## D28     4 vs 9         0.02 1.0000000
## D29    4 vs 10         0.05 0.9996333
## D30     5 vs 6         0.03 1.0000000
## D31     5 vs 7         0.03 1.0000000
## D32     5 vs 8         0.02 1.0000000
## D33     5 vs 9         0.03 1.0000000
## D34    5 vs 10         0.03 1.0000000
## D35     6 vs 7         0.05 0.9996333
## D36     6 vs 8         0.04 0.9999982
## D37     6 vs 9         0.05 0.9996333
## D38    6 vs 10         0.03 1.0000000
## D39     7 vs 8         0.02 1.0000000
## D40     7 vs 9         0.02 1.0000000
## D41    7 vs 10         0.05 0.9996333
## D42     8 vs 9         0.02 1.0000000
## D43    8 vs 10         0.04 0.9999982
## D44    9 vs 10         0.05 0.9996333
## 
## 3. Root Mean Square Error Between Distributions:
##    comparison       rmse
## 1      1 vs 2 0.04560622
## 2      1 vs 3 0.03944914
## 3      1 vs 4 0.03633549
## 4      1 vs 5 0.06031709
## 5      1 vs 6 0.07218678
## 6      1 vs 7 0.03888501
## 7      1 vs 8 0.04315660
## 8      1 vs 9 0.04105515
## 9     1 vs 10 0.07106682
## 10     2 vs 3 0.07168801
## 11     2 vs 4 0.06417193
## 12     2 vs 5 0.07237352
## 13     2 vs 6 0.09106474
## 14     2 vs 7 0.04919926
## 15     2 vs 8 0.06610239
## 16     2 vs 9 0.05758095
## 17    2 vs 10 0.09753202
## 18     3 vs 4 0.04743684
## 19     3 vs 5 0.07060149
## 20     3 vs 6 0.07576008
## 21     3 vs 7 0.05579387
## 22     3 vs 8 0.04758050
## 23     3 vs 9 0.05937966
## 24    3 vs 10 0.07452611
## 25     4 vs 5 0.03960796
## 26     4 vs 6 0.04504994
## 27     4 vs 7 0.03031912
## 28     4 vs 8 0.02497469
## 29     4 vs 9 0.02235435
## 30    4 vs 10 0.04750144
## 31     5 vs 6 0.03103146
## 32     5 vs 7 0.02843356
## 33     5 vs 8 0.02972391
## 34     5 vs 9 0.02612048
## 35    5 vs 10 0.04105053
## 36     6 vs 7 0.04678188
## 37     6 vs 8 0.03814762
## 38     6 vs 9 0.04202460
## 39    6 vs 10 0.03396742
## 40     7 vs 8 0.02474454
## 41     7 vs 9 0.02011513
## 42    7 vs 10 0.05355944
## 43     8 vs 9 0.02505910
## 44    8 vs 10 0.04159827
## 45    9 vs 10 0.04546680
## 
## 4. Regression Analysis for Each Distribution:
##           source      slope intercept r_squared      p_value
## log_area       1 -0.5745947  1.991477 0.8626897 4.831235e-44
## log_area1      2 -0.5615357  1.951405 0.8707654 2.467110e-45
## log_area2      3 -0.5815099  2.014236 0.8589816 1.786614e-43
## log_area3      4 -0.5778383  1.990227 0.8490061 5.116960e-42
## log_area4      5 -0.5636019  1.932306 0.8397044 9.626891e-41
## log_area5      6 -0.5716532  1.955292 0.8314698 1.126230e-39
## log_area6      7 -0.5655892  1.948491 0.8516637 2.140208e-42
## log_area7      8 -0.5702904  1.962300 0.8465250 1.138847e-41
## log_area8      9 -0.5688896  1.957308 0.8475658 8.154343e-42
## log_area9     10 -0.5735963  1.962319 0.8304943 1.495185e-39
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 10 × 2
##    source   auc
##     <dbl> <dbl>
##  1      1  3.14
##  2      2  3.09
##  3      3  3.17
##  4      4  3.10
##  5      5  2.98
##  6      6  3.00
##  7      7  3.04
##  8      8  3.05
##  9      9  3.04
## 10     10  3.02
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 10 × 6
##    source mean_log_count median_log_count sd_log_count min_log_count
##     <dbl>          <dbl>            <dbl>        <dbl>         <dbl>
##  1      1          0.705           0.289         0.812             0
##  2      2          0.694           0.358         0.790             0
##  3      3          0.712           0.191         0.823             0
##  4      4          0.697           0.191         0.823             0
##  5      5          0.671           0.107         0.807             0
##  6      6          0.675           0.0123        0.823             0
##  7      7          0.682           0.191         0.804             0
##  8      8          0.686           0.163         0.813             0
##  9      9          0.684           0.199         0.811             0
## 10     10          0.678           0.0379        0.826             0
## # ℹ 1 more variable: max_log_count <dbl>
## All Lines Calibration Surface Model Distribution Analysis Results
## 
## 1. Correlation Analysis:
##       comparison pearson_r       p_value
## cor       1 vs 2 0.9951516 1.585809e-100
## cor1      1 vs 3 0.9980309 1.133750e-119
## cor2      1 vs 4 0.9996635 2.967063e-157
## cor3      1 vs 5 0.9972659 1.074680e-112
## cor4      1 vs 6 0.9977437 8.888355e-117
## cor5      1 vs 7 0.9963519 1.443638e-106
## cor6      1 vs 8 0.9912174  6.357962e-88
## cor7      1 vs 9 0.9974059 8.211316e-114
## cor8     1 vs 10 0.9960779 4.987475e-105
## cor9      2 vs 3 0.9990980 2.826783e-136
## cor10     2 vs 4 0.9956136 1.186185e-102
## cor11     2 vs 5 0.9989762 1.398791e-133
## cor12     2 vs 6 0.9988876 8.141502e-132
## cor13     2 vs 7 0.9995798 1.590111e-152
## cor14     2 vs 8 0.9990443 4.795013e-135
## cor15     2 vs 9 0.9990832 6.262543e-136
## cor16    2 vs 10 0.9988805 1.114875e-131
## cor17     3 vs 4 0.9980244 1.331972e-119
## cor18     3 vs 5 0.9994264 6.612416e-146
## cor19     3 vs 6 0.9993988 6.650110e-145
## cor20     3 vs 7 0.9994928 1.600257e-148
## cor21     3 vs 8 0.9973050 5.318698e-113
## cor22     3 vs 9 0.9994168 1.496608e-145
## cor23    3 vs 10 0.9989620 2.743538e-133
## cor24     4 vs 5 0.9976441 7.370042e-116
## cor25     4 vs 6 0.9976520 6.252802e-116
## cor26     4 vs 7 0.9964772 2.614028e-107
## cor27     4 vs 8 0.9917808  2.501950e-89
## cor28     4 vs 9 0.9978268 1.417424e-117
## cor29    4 vs 10 0.9960215 1.003350e-104
## cor30     5 vs 6 0.9986322 2.027655e-127
## cor31     5 vs 7 0.9990655 1.601072e-135
## cor32     5 vs 8 0.9975328 7.051565e-115
## cor33     5 vs 9 0.9991998 8.012992e-139
## cor34    5 vs 10 0.9989044 3.859015e-132
## cor35     6 vs 7 0.9993785 3.372592e-144
## cor36     6 vs 8 0.9964680 2.967844e-107
## cor37     6 vs 9 0.9991261 5.993121e-137
## cor38    6 vs 10 0.9989494 4.960029e-133
## cor39     7 vs 8 0.9981711 3.053264e-121
## cor40     7 vs 9 0.9995037 5.519521e-149
## cor41    7 vs 10 0.9990765 8.956911e-136
## cor42     8 vs 9 0.9970648 3.466921e-111
## cor43    8 vs 10 0.9977610 6.102946e-117
## cor44    9 vs 10 0.9983836 7.216465e-124
## 
## 2. Kolmogorov-Smirnov Test Results:
##     comparison ks_statistic   p_value
## D       1 vs 2         0.06 0.9937649
## D1      1 vs 3         0.05 0.9996333
## D2      1 vs 4         0.02 1.0000000
## D3      1 vs 5         0.08 0.9062064
## D4      1 vs 6         0.05 0.9996333
## D5      1 vs 7         0.06 0.9937649
## D6      1 vs 8         0.07 0.9670685
## D7      1 vs 9         0.04 0.9999982
## D8     1 vs 10         0.08 0.9062064
## D9      2 vs 3         0.03 1.0000000
## D10     2 vs 4         0.07 0.9670685
## D11     2 vs 5         0.05 0.9996333
## D12     2 vs 6         0.04 0.9999982
## D13     2 vs 7         0.02 1.0000000
## D14     2 vs 8         0.03 1.0000000
## D15     2 vs 9         0.04 0.9999982
## D16    2 vs 10         0.03 1.0000000
## D17     3 vs 4         0.05 0.9996333
## D18     3 vs 5         0.06 0.9937649
## D19     3 vs 6         0.02 1.0000000
## D20     3 vs 7         0.02 1.0000000
## D21     3 vs 8         0.04 0.9999982
## D22     3 vs 9         0.03 1.0000000
## D23    3 vs 10         0.04 0.9999982
## D24     4 vs 5         0.09 0.8127483
## D25     4 vs 6         0.05 0.9996333
## D26     4 vs 7         0.06 0.9937649
## D27     4 vs 8         0.07 0.9670685
## D28     4 vs 9         0.04 0.9999982
## D29    4 vs 10         0.08 0.9062064
## D30     5 vs 6         0.06 0.9937649
## D31     5 vs 7         0.06 0.9937649
## D32     5 vs 8         0.04 0.9999982
## D33     5 vs 9         0.06 0.9937649
## D34    5 vs 10         0.04 0.9999982
## D35     6 vs 7         0.03 1.0000000
## D36     6 vs 8         0.05 0.9996333
## D37     6 vs 9         0.03 1.0000000
## D38    6 vs 10         0.03 1.0000000
## D39     7 vs 8         0.03 1.0000000
## D40     7 vs 9         0.03 1.0000000
## D41    7 vs 10         0.03 1.0000000
## D42     8 vs 9         0.05 0.9996333
## D43    8 vs 10         0.04 0.9999982
## D44    9 vs 10         0.05 0.9996333
## 
## 3. Root Mean Square Error Between Distributions:
##    comparison       rmse
## 1      1 vs 2 0.08061827
## 2      1 vs 3 0.04924833
## 3      1 vs 4 0.01778867
## 4      1 vs 5 0.06143171
## 5      1 vs 6 0.04950316
## 6      1 vs 7 0.06588700
## 7      1 vs 8 0.10817392
## 8      1 vs 9 0.05213392
## 9     1 vs 10 0.06769087
## 10     2 vs 3 0.03571660
## 11     2 vs 4 0.07835248
## 12     2 vs 5 0.03250816
## 13     2 vs 6 0.04315720
## 14     2 vs 7 0.02461213
## 15     2 vs 8 0.03347406
## 16     2 vs 9 0.04698409
## 17    2 vs 10 0.03780540
## 18     3 vs 4 0.04949169
## 19     3 vs 5 0.02538749
## 20     3 vs 6 0.02480585
## 21     3 vs 7 0.02255071
## 22     3 vs 8 0.06117038
## 23     3 vs 9 0.02850054
## 24    3 vs 10 0.03200326
## 25     4 vs 5 0.05885528
## 26     4 vs 6 0.05018166
## 27     4 vs 7 0.06518483
## 28     4 vs 8 0.10606138
## 29     4 vs 9 0.04777213
## 30    4 vs 10 0.06794804
## 31     5 vs 6 0.03988339
## 32     5 vs 7 0.02958268
## 33     5 vs 8 0.05366749
## 34     5 vs 9 0.03778891
## 35    5 vs 10 0.03318666
## 36     6 vs 7 0.02772706
## 37     6 vs 8 0.07122050
## 38     6 vs 9 0.02927052
## 39    6 vs 10 0.03309176
## 40     7 vs 8 0.05017981
## 41     7 vs 9 0.03078581
## 42    7 vs 10 0.02992986
## 43     8 vs 9 0.07199508
## 44    8 vs 10 0.05542910
## 45    9 vs 10 0.04207640
## 
## 4. Regression Analysis for Each Distribution:
##           source      slope intercept r_squared      p_value
## log_area       1 -0.4799373  1.655257 0.8485806 5.874869e-42
## log_area1      2 -0.4913128  1.725389 0.8838731 1.297678e-47
## log_area2      3 -0.4839446  1.688698 0.8727120 1.171503e-45
## log_area3      4 -0.4782786  1.650797 0.8486298 5.781843e-42
## log_area4      5 -0.4866653  1.705628 0.8794854 8.006856e-47
## log_area5      6 -0.4805276  1.674285 0.8729008 1.089199e-45
## log_area6      7 -0.4857015  1.699302 0.8789826 9.821404e-47
## log_area7      8 -0.4926665  1.743552 0.8943796 1.237636e-49
## log_area8      9 -0.4752808  1.656676 0.8706598 2.567988e-45
## log_area9     10 -0.4818688  1.689285 0.8850458 7.886536e-48
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 10 × 2
##    source   auc
##     <dbl> <dbl>
##  1      1  2.58
##  2      2  2.79
##  3      3  2.70
##  4      4  2.58
##  5      5  2.74
##  6      6  2.66
##  7      7  2.73
##  8      8  2.86
##  9      9  2.64
## 10     10  2.72
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 10 × 6
##    source mean_log_count median_log_count sd_log_count min_log_count
##     <dbl>          <dbl>            <dbl>        <dbl>         <dbl>
##  1      1          0.581            0.143        0.684             0
##  2      2          0.625            0.297        0.686             0
##  3      3          0.605            0.252        0.680             0
##  4      4          0.580            0.121        0.681             0
##  5      5          0.616            0.252        0.681             0
##  6      6          0.598            0.235        0.675             0
##  7      7          0.612            0.275        0.680             0
##  8      8          0.641            0.375        0.684             0
##  9      9          0.593            0.199        0.668             0
## 10     10          0.610            0.318        0.672             0
## # ℹ 1 more variable: max_log_count <dbl>

11. Paper Comparisons